227 LearnersLast updated on May 26th, 2025
Multiples of 9
In math, multiples are the products we get while multiplying a number with other numbers. Multiples play a key role in construction and design, counting groups of items, sharing resources equally, and managing time effectively. In this topic, we will learn the essential concepts of multiples of 9.
What are the Multiples of 9?
Now, let us learn more about multiples of 9. Multiples of 9 are the numbers you get when you multiply 9 by any whole number, along with zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 9 can be denoted as 9 × n, where ‘n’ represents any whole number (0, 1, 2, 3,…). So, we can summarize that:
Multiple of a number = Number × Any whole number
For example, multiplying 9 × 1 will give us 9 as the product. Multiples of 9 will be larger or equal to 9.
List of First 20 Multiples of 9
Multiples of 9 include the products of 9 and an integer. Multiples of 9 are divisible by 9 evenly. The first few multiples of 9 are given below:
| TABLE OF 9 (1-10) | |
|---|---|
|
9 x 1 = 9 |
9 x 6 = 54 |
|
9 x 2 = 18 |
9 x 7 = 63 |
|
9 x 3 = 27 |
9 x 8 = 72 |
|
9 x 4 = 36 |
9 x 9 = 81 |
|
9 x 5 = 45 |
9 x 10 = 90 |
| TABLE OF 9 (11-20) | |
|---|---|
|
9 x 11 = 99 |
9 x 16 = 144 |
|
9 x 12 = 108 |
9 x 17 = 153 |
|
9 x 13 = 117 |
9 x 18 = 162 |
|
9 x 14 = 126 |
9 x 19 = 171 |
|
9 x 15 = 135 |
9 x 20 = 180 |
Now, we know the first few multiples of 9. They are 0, 9, 18, 27, 36, 45, 54, 63, 72, 81, 90,...
Operations with Multiples of 9
Understanding the multiples of 9 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 9, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 9:
9, 18, 27, 36, and 45 are the first five multiples of 9. When multiplying 9 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:
9 + 18 + 27 + 36 + 45 = 135
When we add the first 5 multiples of 9, the answer will be 135.
Subtraction of first 5 Multiples of 9:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 9, 18, 27, 36, and 45 are the first five multiples of 9. So, let us calculate it as given below:
9 - 18 = -9
-9 - 27 = -36
-36 - 36 = -72
-72 - 45 = -117
Hence, the result of subtracting the first 5 multiples of 9 is -117.
Average of first 5 Multiples of 9:
To calculate the average, we need to identify the sum of the first 5 multiples of 9, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 9 is 135.
9 + 18 + 27 + 36 + 45 = 135
Next, divide the sum by 5:
135 ÷ 5 = 27
27 is the average of the first 5 multiples of 9.
Product of First 5 Multiples of 9:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 9 include: 9, 18, 27, 36, and 45. Now, the product of these numbers is:
9 × 18 × 27 × 36 × 45 = 10,648,320
The product of the first 5 multiples of 9 is 10,648,320.
Division of First 5 Multiples of 9:
While we perform division, we get to know how many times 9 can fit into each of the given multiples. 9, 18, 27, 36, and 45 are the first 5 multiples of 9.
9 ÷ 9 = 1
18 ÷ 9 = 2
27 ÷ 9 = 3
36 ÷ 9 = 4
45 ÷ 9 = 5
The results of dividing the first 5 multiples of 9 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 9
While working with multiples of 9, we make common mistakes. Identifying these errors and understanding how to avoid them can be helpful. Below are some frequent mistakes and tips to avoid them:
Mistake 1
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 9. A simple trick to differentiate between the two is to remember that multiples are the products of multiplication, while factors are the divisors of the number. Multiples of 9 refer to the products we get while multiplying 9 with other numbers. For example, multiples of 9 include 0, 9, 18, 27, 36, 45, 54, 63, 72, 81, 90….
The factors of 9 are 1, 3, and 9. When 9 is divided by 1, 3, and 9, the remainder will be zero. These are the factors of 9 meaning that these numbers can divide 9 without any remainder.
Factors of 9:
9 ÷ 1 = 9
9 ÷ 3 = 3
9 ÷ 9 = 1
Mistake 2
Skipping Multiples while Listing
Be careful when listing each multiple in the sequence. Otherwise, it may lead to incorrect calculations and results. Children sometimes skip multiples when writing them. To clearly understand the issue, take a look at this:
Multiples of 9 include 9, 18, 27, 36, 45, 54, …..90, 99,...
If children do this, they may get confused and mix up the sequential order. So, maintain a consistent order by including each multiple.
Mistake 3
Forgetting to Check the Results with Multiplication
If you are adding or subtracting multiples of 9, the result will still be a multiple of 9. For example, children may write,
9 + 18 = 28, (which is wrong and the correct answer is 27)
This is incorrect because 28 is not a multiple of 9. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 9.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 9, and any other number, is zero, it has a valid value. Remember this:
9 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 9 + 9 + 9 + 9 + 9. Instead of adding too many values, use multiplication. Calculate 9 × n for the nth multiple.
For example, instead of 9 + 9 + 9 + 9 + 9, calculate it as given below: 9 × 5 = 45
Multiples of 9 Examples
Problem 1
Liam and his friends are preparing gift bags for a charity event. Each gift bag contains 9 items. If they prepare gift bags for 6 events, how many items will they have used in total?
54 items
Explanation
Each event requires 9 items per gift bag. To find the total number of items used for 6 events, multiply 9 by 6.
Items per event = 9
Number of events = 6
9 × 6 = 54
They will have used 54 items in total.
Problem 2
Alice, Ben, and Claire are stacking boxes in a storehouse in the order of the first three multiples of 9. How many boxes did each of them stack based on this series of the first three multiples of 9?
The first three multiples of 9 are 9, 18, and 27. Alice stacked 9 boxes. Ben and Claire stacked 18 and 27 boxes respectively.
Explanation
Once we identify the first three multiples of 9, they are:
9 × 1 = 9
9 × 2 = 18
9 × 3 = 27
Hence, Alice stacked 9 boxes. Ben and Claire stacked 18 and 27 boxes.
Problem 3
In Green Valley School, there are 9 sports teams. Each team consists of 9 players. How many players are there in total across all teams?
81 players
Explanation
To find the total number of players, we need to calculate the product of the number of teams and the number of players in each team.
Number of teams = 9
Number of players in each team = 9
9 × 9 = 81
Therefore, there are a total of 81 players across all teams.
Problem 4
Mia has a collection of marbles organized in trays. She has 4 trays, and each tray holds 9 marbles. How many marbles does she have in total?
36 marbles
Explanation
To find the total number of marbles Mia has, multiply the number of trays by the number of marbles in each tray.
Number of trays = 4
Number of marbles in each tray = 9
4 × 9 = 36
So, there are 36 marbles in total.
Problem 5
Kevin is setting up a display of action figures. He places 9 figures on the first shelf, 18 figures on the second shelf, and 27 figures on the third shelf. How many figures are there on all three shelves?
54 figures
Explanation
The first shelf has 9 figures, the second has 18, and the third has 27. To find the total number of figures:
9 + 18 + 27 = 54
Therefore, there are a total of 54 figures on all three shelves.
FAQs on Multiples of 9
1.How do you find the multiples of 9?
2.What is the LCM of 7 and 9?
3.What are the real-life applications of Multiples of 9?
4.Are multiples of 9 finite or infinite?
5.Is there any odd multiples of 9?
6.How can poems help children in United States memorize the Multiplication Table and Multiples of 9?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 9 challenges for kids in United States?
8.How do language and cultural differences in United States affect the way children learn the Multiplication Table and Multiples of 9?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 9 among early learners in United States?
Important Glossaries for Multiples of 9
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 9 include 9, 18, 27, 36, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 9 are the numbers that consist of the number pattern of 9.
- Odd number: An odd number refers to any number that cannot be divided by 2 without leaving a remainder. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 9 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, and 9 are the divisors of 9.
- LCM (Least Common Multiple): The smallest multiple that two or more numbers have in common. For example, the LCM of 7 and 9 is 63.
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Seyed Ali Fathima S
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Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
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